Answer:
For the 99th percentile, we have X = 206 seconds.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
99th percentile:
Value of X when Z has a pvalue of 0.99. So we use 
For the 99th percentile, we have X = 206 seconds.
Answer:
The Answer would be "B"
Step-by-step explanation:
14.1005 - 11.023 = 3.0775
Answer:
The probability that a randomly chosen tree is greater than 140 inches is 0.0228.
Step-by-step explanation:
Given : Cherry trees in a certain orchard have heights that are normally distributed with 
inches and 
inches.
To find : What is the probability that a randomly chosen tree is greater than 140 inches?
Solution :
Mean - inches
Standard deviation - inches
The z-score formula is given by, 
Now,
The Z-score value we get is from the Z-table,
Therefore, the probability that a randomly chosen tree is greater than 140 inches is 0.0228.
If you plug in the x and y, you get
7(1)(3)
7 x 1 x 3 = 21, so the answer is 21
22. 36
23. 13/2
24. 1.1, -9.1
